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Gwar [14]
3 years ago
8

Which explains whether Trina is correct

Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

because the two sides of the equation are equivalent

Step-by-step explanation:

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Pablo bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 more than the desktop. He pa
olga55 [171]
A = price of the desktop

b = price of the laptop

now, we know the laptop was more expensive than the desktop by 250 bucks, thus b = a + 250.

for "a", he paid 8.5% in interest, for "b", he paid 5% in interest.

how much is 8.5% of a?  well (8.5/100) * a, or 0.085a.

how much is 5% of b?  well, (5/100) * b, or 0.05b.

now, we know the total charges for financing were $296, that means the interest paid in total was 296, thus whatever "a" or "b" are, we know that  0.085a + 0.05b = 296.

\bf \begin{cases}
\boxed{b}=a+250\\
0.085a+0.05b=296\\
----------\\
0.085a+0.05\left( \boxed{a+250} \right)=296
\end{cases}
\\\\\\
0.085a+0.05a+12.5=296\implies 0.135a=283.5
\\\\\\
a=\cfrac{283.5}{0.135}\implies a=2100

how much did the laptop cost?  well, b = a + 250.
7 0
3 years ago
When the sum of 5 and three times a positive number is subtracted from the square of the number, 0 results. Find the number.
Juliette [100K]
x-the\ number\\\\x^2-(5+3x)=0\\\\x^2-5-3x=0\\\\x^2-3x-5=0

Use\ the\ quadratic\ formula:\\a^2x+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ then\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ then\ x_0=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ then\ no\ solution

x^2-3x-5=0\\\\a=1;\ b=-3;\ c=-5\\\\\Delta=(-3)^2-4\cdot1\cdot(-5)+3+20=29 \ \textgreater \  0\\\\\sqrt\Delta=\sqrt{29}\\\\x_1=\dfrac{3-\sqrt{29}}{2\cdot1}=\dfrac{3-\sqrt{29}}{2} \ \textless \  0\\\\x_2=\dfrac{3+\sqrt{29}}{2\cdot1}=\dfrac{3+\sqrt{29}}{2} \ \textgreater \  0

Answer:\ \boxed{x=\dfrac{3+\sqrt{29}}{2}}
6 0
3 years ago
A pair of boots are $95.00 and are on sale for 30% off. What is the sale price of the boots?
polet [3.4K]

Answer:

$66.50, and you saved $28.50

3 0
3 years ago
Pls heelp me it will mean alot to me <br>im just tryna finish high school
Rudiy27

Answer:

infinite many

Step-by-step explanation:

5 0
3 years ago
write an equation in slope intercept form satisfying the given equation : The line passes through (3,-8) and is parallel to the
nordsb [41]
Slope of the given line = 4
slope of the req. line = 4
equation of the line
y - y1 = m(x - x1)
y + 8 = 4(x - 3)
y + 8 = 4x - 12
4x - y - 12 - 8 = 0
4x - y - 20 = 0
8 0
3 years ago
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